Answer: The height of tree = 15 ft. 6 inches
Step-by-step explanation:
Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]
= 63 inches
Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches
= 42 inches
If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches
= 124 inches.
At the same time,
Hence, the height of tree = 15 ft. 6 inches
You have to multiply the length by the width and the sum of that you will multiply by the height. In this case 13.5 times 12 is 162. So 162 times 14.1 is 2284.2
Answer:
$3952.13
Step-by-step explanation:
Annuity amount = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
FV = Future value = $75,000
R = interest rate = 8%
N = number of years = 12
Annuity factor = [(1/08)^12 - 1 ] / 0.08 = 1.8977126
Annuity amount = $75,000 / 1.8977126 = $3952.13
Answer:
- (b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.
Explanation:
(a) What is the length of the garden in her model? Show your work, including your proportion
<u>1. Scale</u>:
- model length / real length = 1 inch / 2 feet
<u>2. Proportion</u>:
Naming x the model length:
- 1 inch / 2 feet = x / 6 feet
Cross multiply:
- 1 inch × 6 feet = 2 feet × x
Divide both sides by x:
- x = 1 inch × 6 feet / 2 feet = 3 inch.
Answer: 3 inches
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.
In the model the ratio of the length to the width is 3 inch / 5 inch
In the paper the ratio of the length to the width is 8.5 inch / 7 inch
Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.
